On the group of diffeomorphisms commuting with an elliptic operator

Kenrô FURUTANI

doi:10.2969/jmsj/03510153

Kenrô FURUTANI

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ジャーナルフリー

1983 年 35 巻 1 号 p. 153-162

DOI https://doi.org/10.2969/jmsj/03510153

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Published: 1983 Received: 1980/12/08 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Kenro FURUTANI¹⁾
Right : Kenrô FURUTANI¹⁾

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) Y. Akizuki, The theory of harmonic integrals, Iwanami, Tokyo, 1973.
2) S. Agmon, On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15 (1962), 119-147.
3) J.H. Albert, Genericity of simple eigenvalues for elliptic PDE's, Proc. Amer. Math. Soc., 48 (1975), 413-418.
4) H. Chu and S. Kobayashi, The automorphism group of a geometric structure, Trans. Amer. Math. Soc., 113 (1964), 141-150.
5) S.I. Goldberg and T. Ishihara, Riemannian submersions commuting with the Laplacian, J. Differential Geometry, 13 (1978), 139-144.
6) D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
7) R. Narashimhan, Analysis on real and complex manifolds, North Holland, Amsterdam, 1968.
8) R.S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22 (1957).
9) K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math., 98 (1976), 1059-1078.
10) B. Watson, Manifold maps commuting with the Laplacians, J. Differential Geometry, 8 (1973), 85-94.

Right : [1] Y. Akizuki, The theory of harmonic integrals, Iwanami, Tokyo, 1973.
[2] S. Agmon, On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15 (1962), 119-147.
[3] J. H. Albert, Genericity of simple eigenvalues for elliptic PDE's, Proc. Amer. Math. Soc., 48 (1975), 413-418.
[4] H. Chu and S. Kobayashi, The automorphism group of a geometric structure, Trans. Amer. Math. Soc., 113 (1964), 141-150.
[5] S. I. Goldberg and T. Ishihara, Riemannian submersions commuting with the Laplacian, J. Differential Geometry, 13 (1978), 139-144.
[6] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
[7] R. Narashimhan, Analysis on real and complex manifolds, North Holland, Amsterdam, 1968.
[8] R. S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22 (1957).
[9] K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math., 98 (1976), 1059-1078.
[10] B. Watson, Manifold maps commuting with the Laplacians, J. Differential Geometry, 8 (1973), 85-94.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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